21150350641728 has 448 divisors, whose sum is σ = 77614681651200. Its totient is φ = 5486942177280.

The previous prime is 21150350641727. The next prime is 21150350641753. The reversal of 21150350641728 is 82714605305112.

21150350641728 is a `hidden beast` number, since 2 + 1 + 1 + 503 + 50 + 64 + 17 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (21150350641723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110207551 + ... + 110399297.

Almost surely, 2^{21150350641728} is an apocalyptic number.

21150350641728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21150350641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38807340825600).

21150350641728 is an abundant number, since it is smaller than the sum of its proper divisors (56464331009472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21150350641728 is a wasteful number, since it uses less digits than its factorization.

21150350641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192615 (or 192599 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21150350641728 in words is "twenty-one trillion, one hundred fifty billion, three hundred fifty million, six hundred forty-one thousand, seven hundred twenty-eight".